Honestly this seems BS. Italian Cappuccino cup is small - 6 fl oz. You can handle it at 11am but not 4pm? And as other commenters said, how come Gelato is OK?
But even a small amount of milk can create a large amount of flatus (gas). And now you're back in the office, in the middle of a meeting.
Come to think of it, not a bad idea: next time, cappucinos on the house at lunchtime for everyone! Maybe add a few milk-based Indian sweets to the snack tray too, for mutual enjoyment. Serve it all up "tout suite!" as the French say!
Of my family two are lactose tolerant, and two not. Makes major differences in the milk used.